# How do you find the product 2ab(7a^4b^2+a^5b-2a)?

Aug 22, 2017

See explanation.

#### Explanation:

To find the product you have to multiply each term in the brackets by $2 a b$:

$2 a b \times \left(7 {a}^{4} {b}^{2} + {a}^{5} b - 2 a\right) =$

$= 2 a b \times 7 {a}^{4} b + 2 a b \times {a}^{5} b + 2 a b \times \left(- 2 a\right) =$

$= 14 {a}^{5} {b}^{2} + 2 {a}^{6} {b}^{2} + \left(- 4 {a}^{2} b\right) =$

$= 14 {a}^{5} {b}^{2} + 2 {a}^{6} {b}^{2} - 4 {a}^{2} b$